Journal
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
Volume 89, Issue 3, Pages 334-346Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/00207160.2011.554540
Keywords
dengue; basic reproduction number; stability; Cape Verde; control
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Funding
- Portuguese Foundation for Science and Technology (FCT) [SFRH/BD/33384/2008]
- R&D units Algoritmi
- CIDMA
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Dengue is one of the major international public health concerns. Although progress is underway, developing a vaccine against the disease is challenging. Thus, the main approach to fight the disease is vector control. A model for the transmission of dengue disease is presented. It consists of eight mutually exclusive compartments representing the human and vector dynamics. It also includes a control parameter (insecticide) in order to fight the mosquito. The model presents three possible equilibria: two disease-free equilibria (DFE) and another endemic equilibrium. It has been proved that a DFE is locally asymptotically stable, whenever a certain epidemiological threshold, known as the basic reproduction number, is less than one. We show that if we apply a minimum level of insecticide, it is possible to maintain the basic reproduction number below unity. A case study, using data of the outbreak that occurred in 2009 in Cape Verde, is presented.
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